The list of multiples for 6 is infinite.
True or False?

Answers

Answer 1
Answer:

Answer:

True

Step-by-step explanation:

As there are infinite numbers, the list of multiples are also infinite.

Multiples of 6 : 6, 12 , 18 , 24 ..............

Answer 2
Answer:

Answer:

True; yes.

Step-by-step explanation:

Think about it, what does etc, etc mean? It means repetitive-a pattern, in a sort of way. So here are some multiples of 6:

6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294,  etc.

As you can see, all I'm doing is adding 6 to every step I go. So when you say there is an infinite number, then these multiples are going to be infinite.


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The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?x^2 + x = 42
x^2 + 2x = 42
x^2 + x + 42 = 0
x^2 + 2x + 42 = 0

Answers

Answer:

The correct answer is x^2 + x = 42.

Step-by-step explanation:

First, we need to declare the unknown, as usual we will use x for the number. Then, the square of the number will be x^2. Following the order of the statement we have that x + x^2 =42. Here we have ‘‘translated’’ the term the sum in the mathematical operation of addition. Moreover, we convert the fact that the sum of a number and its square is 42 in a equality. This is the explanation of the equation x + x^2 =42.

Finally, using that the addition is commutative we have that x^2+x=42.  

x^2 + x = 42

sum indicates addition
a number = x
it's square = x^2

Functions A, B and C are linear functions. ​Some values of Function A are shown in the table. ​ ​ ​The graph of Function B has a intercept of and an intercept of . ​Function C is defined by the equation . ​Order the linear functions based on rate of change, from least to greatest. DRAG & DROP THE ANSWER Function A Function B Function C Least Rate Greatest Rate

Answers

Function A Least Rate, Function B, Function C Greatest Rate.

To determine the rate of change of each linear function, we can look at their slopes. The slope of Function A can be found by taking the difference between the y-coordinates of any two points on the line and dividing by the difference between the corresponding x-coordinates. For example, using the points (0, 1) and (2, 4), we can find the slope of Function A as (4-1)/(2-0) = 3/2.

The slope of Function B can be found by using the given intercepts, which means the slope of Function B is -2/3 (as the line passes through the points (0,2) and (3,0)).

The slope of Function C can be found by rearranging the equation y = -3x + 4 into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Therefore, the slope of Function C is -3.

Hence, we can see that the slope of Function A is 3/2, which is the least among the given functions. The slope of Function B is -2/3, which is greater than the slope of Function A. The slope of Function C is -3, which is the greatest among the given functions. Therefore, the order of the linear functions based on the rate of change, from least to greatest, would be Function A, Function B, Function C.

Learn more about Least Rate here

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Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Answers

Answer:

The required expression is4x^2-25

Step-by-step explanation:

The difference of squares formula is given by

(a+b)(a-b)=a^2-b^2

We have been given that one factor is 2x+5. Hence, a = 2x, b = 5

It means that other factor must be (a-b) = (2x-5)

Hence, in order to find the expression, we can multiply the factors.

(2x+5)(2x-5)

Using the difference of squares formula

(2x+5)(2x-5)\n\n=(2x)^2-5^2\n\n4x^2-25

Therefore, the required expression is4x^2-25

I hope this helps you

Write an expression that simplifies to 160 using the commutative and associative properties

Answers

Answer:

Let's say we have an expression x * y + z * w, where x, y, z and w are numbers.

We can use the commutative property to change the order of the summands:

x * y + z * w = y * x + w * z = (y + z) * x + w

Since we have a sum of two products, we can use the associative property to combine them:

(y + w) * (x + 15) = 160

By dividing both sides of the equation by 2, we get:

(y + w) / 2 * (x + 15) / 2 = 80

We can then simplify this expression using the distributive property:

(y / 2) + (w / 2) * (x / 2) + (15 / 2)

Since the numbers are all positive, we can cancel out the halves on the left, and combine the remaining terms:

y / 2 + (w / 2) * x + 15 / 2 = 80

Finally, we can simplify this expression by dividing both sides of the equation by the constant fraction:

y / 2 + (w / 2) * x + 15 / 2 = 80

(y / 2) + (w / 2) * (x / 2) + (15 / 2) = 80

Simplifying this expression, we get y / 2 + (w / 2) * x / 2 + 15 / 2 = 40.

By simplifying the last term further, we get:

y / 2 + (w / 2) * x / 2 + 7.5 = 40

Therefore, the equation that simplifies to 160 is this one:

y / 2 + (w / 2) * x / 2 + 7.5

I hope this helps!

There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?

Answers

use the equations 300x + 225y= 217500 and x + y= 850 to solve

What is the product of (x+1) and (2x^2+3x-1)?

Answers

(x + 1)(2x^2 + 3x - 1) : Can be solved in multiple ways but easiest for me :P

x (2x^2 + 3x - 1) + 1(2x^2 + 3x - 1)

(2x^3 + 3x^2 - x) + (2x^2 + 3x - 1)

2x^3 + 5x^2 + 2x - 1